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Finding the Third Proportional to 117,207.84 and 175,039.31

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Solution

The third proportional to 117,207.84 and 175,039.31 is: 261,405.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,207.84 : 175,039.31 = 175,039.31 : x
  2. Step 2: Convert to fraction form
    117,207.84/175,039.31 = 175,039.31/x
  3. Step 3: Cross multiply
    117,207.84x = 175,039.31 × 175,039.31
  4. Step 4: Simplify right side
    117,207.84x = 30,638,760,920.47
  5. Step 5: Solve for x
    x = 30,638,760,920.47/117,207.84
  6. Step 6: Final answer
    x = 261,405.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.